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On Commodity Prices and Factor Rewards: A Close Look at Sign Patterns

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  • Mitra, Tapan

    (Cornell U)

Abstract

The effect of changes in commodity prices on factor rewards is studied in the multi-commodity, multi-factor case. It is shown that the inverse of the distributive share matrix must satisfy the following restriction: it cannot be anti-symmetric in its sign pattern. This means that one cannot partition the commodities into two groups (I and II) and factors into two groups (A and B), such that all factors in group A benefit (nominally) from all commodity price increases in group I, and simultaneously all factors in group B suffer from all commodity price increases in group II. It turns out that this is also the only sign-pattern restriction imposed by the general nature of the relationship of commodity prices and factor rewards.

Suggested Citation

  • Mitra, Tapan, 2007. "On Commodity Prices and Factor Rewards: A Close Look at Sign Patterns," Working Papers 07-07, Cornell University, Center for Analytic Economics.
  • Handle: RePEc:ecl:corcae:07-07
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    File URL: https://cae.economics.cornell.edu/07-07.pdf
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    References listed on IDEAS

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    1. Jones, Ronald W & Scheinkman, Jose A, 1977. "The Relevance of the Two-Sector Production Model in Trade Theory," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 909-935, October.
    2. Jones, Ronald W., 1985. "Relative prices and real factor rewards : A reinterpretation," Economics Letters, Elsevier, vol. 19(1), pages 47-49.
    3. Ethier, Wilfred, 1974. "Some of the theorems of international trade with many goods and factors," Journal of International Economics, Elsevier, vol. 4(2), pages 199-206, May.
    4. Ronald W. Jones, 2018. "“Protection and Real Wages”: The History of an Idea," World Scientific Book Chapters, in: International Trade Theory and Competitive Models Features, Values, and Criticisms, chapter 6, pages 93-108, World Scientific Publishing Co. Pte. Ltd..
    5. Jones, Ronald W & Kierzkowski, Henryk, 1986. "Neighborhood Production Structures, with an Application to the Theory of International Trade," Oxford Economic Papers, Oxford University Press, vol. 38(1), pages 59-76, March.
    6. Chang, Winston W, 1979. "Some Theorems of Trade and General Equilibrium with Many Goods and Factors," Econometrica, Econometric Society, vol. 47(3), pages 709-726, May.
    7. Jones, Ronald W. & Peter Neary, J., 1984. "The positive theory of international trade," Handbook of International Economics, in: R. W. Jones & P. B. Kenen (ed.), Handbook of International Economics, edition 1, volume 1, chapter 1, pages 1-62, Elsevier.
    8. Jones, Ronald W & Marjit, Sugata, 1985. "A Simple Production Model with Stolper-Samuelson Properties," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(3), pages 565-567, October.
    9. Ethier, Wilfred J., 1984. "Higher dimensional issues in trade theory," Handbook of International Economics, in: R. W. Jones & P. B. Kenen (ed.), Handbook of International Economics, edition 1, volume 1, chapter 3, pages 131-184, Elsevier.
    10. Wolfgang F. Stolper & Paul A. Samuelson, 1941. "Protection and Real Wages," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 9(1), pages 58-73.
    11. Jones, Ronald W & Mitra, Tapan, 1995. "Share Ribs and Income Distribution," Review of International Economics, Wiley Blackwell, vol. 3(1), pages 36-52, February.
    12. Ronald W. Jones, 2018. "The Structure of Simple General Equilibrium Models," World Scientific Book Chapters, in: International Trade Theory and Competitive Models Features, Values, and Criticisms, chapter 4, pages 61-84, World Scientific Publishing Co. Pte. Ltd..
    13. Becker, Robert & Boldrin, Michele & Jones, Ronald (ed.), 1993. "General Equilibrium, Growth, and Trade II," Elsevier Monographs, Elsevier, edition 1, number 9780120846559.
    14. Jones, Ronald W., 1975. "Income distribution and effective protection in a multicommodity trade model," Journal of Economic Theory, Elsevier, vol. 11(1), pages 1-15, August.
    15. Jones, R.W. & Marjit, S. & Mitra, T., 1990. "The Stolper-Samuelson Theorem: Links To Dominant Diagonals," RCER Working Papers 221, University of Rochester - Center for Economic Research (RCER).
    16. Kemp, Murray C & Wegge, Leon L F, 1969. "On the Relation between Commodity Prices and Factor Rewards," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 10(3), pages 407-413, October.
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    More about this item

    JEL classification:

    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • C67 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Input-Output Models
    • D33 - Microeconomics - - Distribution - - - Factor Income Distribution
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • F11 - International Economics - - Trade - - - Neoclassical Models of Trade

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